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Self-consistent RPA based on a many-body vacuum

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Abstract

Self-Consistent RPA is extended in a way so that it is compatible with a variational ansatz for the ground-state wave function as a fermionic many-body vacuum. Employing the usual equation-of-motion technique, we arrive at extended RPA equations of the Self-Consistent RPA structure. In principle the Pauli principle is, therefore, fully respected. However, the correlation functions entering the RPA matrix can only be obtained from a systematic expansion in powers of some combinations of RPA amplitudes. We demonstrate for a model case that this expansion may converge rapidly.

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Correspondence to M. Jemaï.

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Jemaï, M., Schuck, P. Self-consistent RPA based on a many-body vacuum. Phys. Atom. Nuclei 74, 1139–1146 (2011). https://doi.org/10.1134/S1063778811080084

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  • DOI: https://doi.org/10.1134/S1063778811080084

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